The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 0 1 1 1 1 3 1 0 18 1 3 0 3 0 0 24 21 15 3 24 9 24 21 21 9 0 24 6 3 12 0 9 9 15 15 12 6 0 6 9 3 18 24 3 3 3 15 18 0 0 3 24 0 15 21 3 6 18 6 6 18 12 6 18 3 3 0 3 18 0 12 0 12 3 3 0 9 9 24 6 24 24 3 24 24 0 0 0 9 0 0 18 0 0 9 18 9 18 18 18 0 18 0 9 9 18 18 9 9 18 9 18 18 0 0 18 0 18 0 18 9 18 0 0 0 0 9 18 0 9 18 0 18 18 0 0 0 18 18 0 18 18 9 18 9 0 0 9 18 0 18 18 9 18 9 9 0 9 0 generates a code of length 37 over Z27 who´s minimum homogenous weight is 65. Homogenous weight enumerator: w(x)=1x^0+228x^65+258x^66+726x^68+422x^69+486x^70+1872x^71+1832x^72+1944x^73+2892x^74+3296x^75+1944x^76+2274x^77+370x^78+558x^80+278x^81+174x^83+78x^84+24x^86+14x^87+4x^90+4x^93+4x^96 The gray image is a code over GF(3) with n=333, k=9 and d=195. This code was found by Heurico 1.16 in 2.27 seconds.